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All results from a given calculation for MgSO4 (Magnesium Sulfate)

using model chemistry: wB97X-D/6-311G**

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 1A1
Energy calculated at wB97X-D/6-311G**
 hartrees
Energy at 0K-899.114826
Energy at 298.15K-899.118525
HF Energy-899.114826
Nuclear repulsion energy 
The energy at 298.15K was derived from the energy at 0K and an integrated heat capacity that used the calculated vibrational frequencies.
Vibrational Frequencies calculated at wB97X-D/6-311G**
Mode Number Symmetry Frequency
(cm-1)
Scaled Frequency
(cm-1)
IR Intensities
(km mol-1)
Raman Act
(Å4/u)
Dep P Dep U
1 A1 1213 1160 287.06      
2 A1 806 771 291.10      
3 A1 751 719 66.54      
4 A1 583 557 10.42      
5 A1 393 376 62.19      
6 A2 371 355 0.00      
7 B1 1395 1335 292.44      
8 B1 557 533 52.21      
9 B1 110 105 45.48      
10 B2 792 757 400.78      
11 B2 627 600 3.81      
12 B2 460 440 0.21      

Unscaled Zero Point Vibrational Energy (zpe) 4029.0 cm-1
Scaled (by 0.9565) Zero Point Vibrational Energy (zpe) 3853.8 cm-1
See section III.C.1 List or set vibrational scaling factors to change the scale factors used here.
See section III.C.2 Calculate a vibrational scaling factor for a given set of molecules to determine the least squares best scaling factor.
Rotational Constants (cm-1) from geometry optimized at wB97X-D/6-311G**
ABC
0.17580 0.08128 0.08008

See section I.F.4 to change rotational constant units
Geometric Data calculated at wB97X-D/6-311G**

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
Mg1 0.000 0.000 -1.909
S2 0.000 0.000 0.589
O3 0.000 1.204 -0.473
O4 0.000 -1.204 -0.473
O5 -1.244 0.000 1.315
O6 1.244 0.000 1.315

Atom - Atom Distances (Å)
  Mg1 S2 O3 O4 O5 O6
Mg12.49871.87451.87453.45603.4560
S22.49871.60581.60581.44011.4401
O31.87451.60582.40852.48872.4887
O41.87451.60582.40852.48872.4887
O53.45601.44012.48872.48872.4878
O63.45601.44012.48872.48872.4878

picture of Magnesium Sulfate state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
Mg1 O3 S2 91.440 Mg1 O4 S2 91.440
O3 Mg1 O4 79.946 O3 S2 O4 97.174
O3 S2 O5 109.470 O3 S2 O6 109.470
O4 S2 O5 109.470 O4 S2 O6 109.470
O5 S2 O6 119.485
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at wB97X-D/6-311G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 Mg 1.101      
2 S 1.253      
3 O -0.674      
4 O -0.674      
5 O -0.504      
6 O -0.504      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.000 0.000 -13.475 13.475
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -46.805 0.000 0.000
y 0.000 -48.746 0.000
z 0.000 0.000 -17.725
Traceless
 xyz
x -13.570 0.000 0.000
y 0.000 -16.481 0.000
z 0.000 0.000 30.051
Polar
3z2-r260.102
x2-y21.941
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 5.353 0.000 0.000
y 0.000 4.484 0.000
z 0.000 0.000 7.388


<r2> (average value of r2) Å2
<r2> 152.094
(<r2>)1/2 12.333